10712168688 has 160 divisors (see below), whose sum is σ = 31770188800. Its totient is φ = 3082779648.

The previous prime is 10712168681. The next prime is 10712168743. The reversal of 10712168688 is 88686121701.

It is a happy number.

It is a super-2 number, since 2×10712168688² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712168681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930906 + ... + 942342.

It is an arithmetic number, because the mean of its divisors is an integer number (198563680).

Almost surely, 2^10712168688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712168688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885094400).

10712168688 is an abundant number, since it is smaller than the sum of its proper divisors (21058020112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10712168688 is a wasteful number, since it uses less digits than its factorization.

10712168688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559 (or 11553 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 10712168688 in words is "ten billion, seven hundred twelve million, one hundred sixty-eight thousand, six hundred eighty-eight".